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Simplifying a2 + 13ab + 40b2 = 0 Reorder the terms: 13ab + a2 + 40b2 = 0 Solving 13ab + a2 + 40b2 = 0 Solving for variable 'a'. Factor a trinomial. (a + 5b)(a + 8b) = 0Subproblem 1
Set the factor '(a + 5b)' equal to zero and attempt to solve: Simplifying a + 5b = 0 Solving a + 5b = 0 Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. a + 5b + -5b = 0 + -5b Combine like terms: 5b + -5b = 0 a + 0 = 0 + -5b a = 0 + -5b Remove the zero: a = -5b Simplifying a = -5bSubproblem 2
Set the factor '(a + 8b)' equal to zero and attempt to solve: Simplifying a + 8b = 0 Solving a + 8b = 0 Move all terms containing a to the left, all other terms to the right. Add '-8b' to each side of the equation. a + 8b + -8b = 0 + -8b Combine like terms: 8b + -8b = 0 a + 0 = 0 + -8b a = 0 + -8b Remove the zero: a = -8b Simplifying a = -8bSolution
a = {-5b, -8b}
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